1. **State the problem:** We need to find the area of each room in the floor plan, the total area to be carpeted, and the total cost of carpeting given the price per square meter. 2. **Identify the dimensions:** The floor plan is rectangular with multiple rooms. The horizontal lengths are 3.25m, 3.55m, 10.9m, 3.65m, and 2.65m. The vertical lengths are 2.5m, 4.15m, and 6.8m. 3. **Calculate the area of each room:** Assuming the rooms are rectangles, area = length × width. - Room 1: $3.25 \times 2.5 = 8.125$ m² - Room 2: $3.55 \times 4.15 = 14.7325$ m² - Room 3: $10.9 \times 6.8 = 74.12$ m² - Room 4: $3.65 \times 2.5 = 9.125$ m² - Room 5: $2.65 \times 4.15 = 10.9975$ m² - Room 6: $3.65 \times 6.8 = 24.82$ m² 4. **Round each area to 2 decimal places:** - Room 1: $8.13$ m² - Room 2: $14.73$ m² - Room 3: $74.12$ m² - Room 4: $9.13$ m² - Room 5: $11.00$ m² - Room 6: $24.82$ m² 5. **Calculate total area:** $$\text{Total area} = 8.13 + 14.73 + 74.12 + 9.13 + 11.00 + 24.82 = 141.93\text{ m}^2$$ 6. **Calculate total cost:** Given carpet price = 128.00 per m² $$\text{Total cost} = 141.93 \times 128 = 18159.04$$ **Final answers:** - Areas of rooms: 8.13 m², 14.73 m², 74.12 m², 9.13 m², 11.00 m², 24.82 m² - Total area: 141.93 m² - Total cost: 18159.04